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Finding the Fourth Proportional to 75,802.38, 104,605.86 and 41,814.04

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Solution

The fourth proportional to 75,802.38, 104,605.86 and 41,814.04 is: 57,702.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,802.38 : 104,605.86 = 41,814.04 : x
  2. Step 2: Convert to fraction form
    75,802.38/104,605.86 = 41,814.04/x
  3. Step 3: Cross multiply
    75,802.38x = 104,605.86 × 41,814.04
  4. Step 4: Simplify right side
    75,802.38x = 4,373,993,614.27
  5. Step 5: Solve for x
    x = 4,373,993,614.27/75,802.38
  6. Step 6: Final answer
    x = 57,702.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.